On Weyl's Gauge Field

Utiyama, Ryôyû

doi:10.1143/ptp.50.2080

Cited by 80 publications

(64 citation statements)

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“…After the frame choice, the freedom of the scalar field is eaten by the vector field, then, the presence of the non-minimal terms mentioned above is still realized 2 . In the next section, we review the Weyl invariant gravity with the vector field [11][12][13][14][16][17][18][19][20][21][25][26][27][28][29][30][31][32][33][34][35][36][37]. The expression (1.4) is generalized to the Weyl invariant one.…”

Section: B M B  mentioning

confidence: 99%

Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

Maki¹,

Kan²,

Shiraishi³

2012

JMP

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Weyl invariant gravity has been investigated as the fundamental theory of the vector inflation. Accordingly, we consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. We find that an appropriate choice of the metric removes the scalar degree of freedom which is at the first sight required by the local scale invariance of the action, and then a vector field acquires mass. Then non-minimal couplings of the vector field and curvatures are induced. We find that the Dirac-Born-Infeld type gravity is a suitable theory to the vector inflation scenario.

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Section: B M B  mentioning

confidence: 99%

Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

Maki¹,

Kan²,

Shiraishi³

2012

JMP

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“…"Long" derivatives D which e n ter the Lagrangian (2) are de ned by the equations D = ( @ + ! Q + A ) ; (3) D ' = ( @ 2 3 Q + A ) ' ; (4) where Q is the vector trace of the torsion tensor: Q = Q , and…”

Section: Conformally Invariant Theorymentioning

confidence: 99%

“…v+ _ h h (see the expression (60) for the action). Then the integrals over the (shifted) Lagrange multiplier v and over the canonical variables h and h result in the overall factor Z e i R vFd 3 …”

Section: Conformally Invariant Quantum Cosmologymentioning

confidence: 99%

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Conformally invariant cosmology based on Riemann-Cartan spacetime

Shtanov¹,

Yushchenko²

1994

Class. Quantum Grav.

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Conformally invariant GUT-like model including gravity based on RiemannCartan space-time U 4 is considered. Cosmological scenario that follows from the model is discussed and standard quantum gravitational formalism in the ArnowittDeser-Misner form is developed. General formalism is then illustrated on Bianchi-IX minisuperspace cosmological model. Wave functions of the universe in the de Sitter minisuperspace model with Vilenkin and Hartle-Hawking boundary conditions are considered and corresponding probability distributions for the scalar eld values are calculated.a On leave of absence from Bogolyubov Institute for Theoretical Physics, Kiev, 252143 Ukraine.

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“…The idea that conformal invariance [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] might solve the problem of fine tuning of the cosmological constant [16,17] is very old [18,19] and has attracted considerable interest in the literature [20][21][22][23][24][25][26][27][28][29][30][31]. A theory with conformal invariance does not permit a cosmological constant and hence might impose some constraint on its value.…”

Section: Introductionmentioning

confidence: 99%

The fine tuning of the cosmological constant in a conformal model

Jain

Kashyap

Mitra

2015

Int. J. Mod. Phys. A

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Abstract:We consider a conformal model involving two real scalar fields in which the conformal symmetry is broken by a soft mechanism and is not anomalous. One of these scalar fields is representative of the standard model Higgs. The model predicts exactly zero cosmological constant. In the simplest version of the model, some of the couplings need to be fine tuned to very small values. We formulate the problem of fine tuning of these couplings. We argue that the problem arises since we require a soft mechanism to break conformal symmetry. The symmetry breaking is possible only if the scalar fields do not evolve significantly over the time scale of the Universe. We present two solutions to this fine tuning problem. We argue that the problem is solved if the classical value of one of the scalar fields is super-Planckian, i.e. takes a value much larger than the Planck mass. The second solution involves introduction of a strongly coupled hidden sector that we call hypercolor. In this case the conformal invariance is broken dynamically and triggers the breakdown of the electroweak symmetry. We argue that our analysis applies also to the case of the standard model Higgs multiplet.

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On Weyl's Gauge Field

Cited by 80 publications

References 0 publications

Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

Dirac-Born-Infeld-Einstein Theory with Weyl Invariance

Conformally invariant cosmology based on Riemann-Cartan spacetime

The fine tuning of the cosmological constant in a conformal model

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